Problem $1-$ Flat Rolling $($Found in Chapter $18)$

A $250-$mm$-$wide strip with a thickness of $20$ mm is fed through a rolling mill with two powered rolls,

each of radius $=200$mm$.$ The work thickness is to be reduced to $17$ mm in one pass at a roll speed

of $60$rev$//$min$.$ The work material has a flow curve defined by K$=280$MPa and n$=0\mathrm{.}14,$ and the

coefficient of friction between the rolls and the work is assumed to be $0\mathrm{.}14.$

Determine if the friction is sufficient to permit the rolling operation to be accomplished. If it is$,$

calculate the

a$.$ roll force,

b$.$ torque, and

c$.$ power.

Declare all given variables. Also show all formulas and steps to solve